New solutions for interfacial capillary waves of permanent form

doi:10.1017/jfm.2022.882

CORC > 力学研究所 > 中国科学院力学研究所 > 流固耦合系统力学重点实验室(2012-)

	New solutions for interfacial capillary waves of permanent form
	Guan X 3; VandenBroeck JM 3; Wang Z(王展)1,2
刊名	JOURNAL OF FLUID MECHANICS
	2022-11-11
卷号	951 页码:20
关键词	capillary flows capillary waves
ISSN号	0022-1120
DOI	10.1017/jfm.2022.882
通讯作者	Wang, Z.(zwang@imech.ac.cn)
英文摘要	Progressive capillary waves on the interface between two homogeneous fluids confined in a channel with rigid walls parallel to the undisturbed interface are investigated. This problem is formulated as a system of integrodifferential equations that can be solved numerically via a boundary integral equation method coupled with series expansions of the unknown functions. With this highly accurate scheme and numerical continuation, we explore the global bifurcation of periodic travelling waves. It is found that there are two types of limiting profile, self-intersecting and boundary-touching, which appear either along a primary branch bifurcating from infinitesimal periodic waves or on an isolated branch existing above a certain finite amplitude. For particular sets of parameters, these two types of bifurcation curves can intersect, which can be viewed as a secondary bifurcation phenomenon occurring on the primary branch. Based on asymptotic and numerical analyses of the almost limiting waves, it is found that the boundary-touching solutions feature a circular geometry, i.e. the interface is pieced together by circular arcs of the same radius. A theoretical investigation yields the necessary conditions for the existence of these extreme waves, whereby we can predict the limiting configurations for most parameter sets. The comparisons between theoretical predictions and numerical results show good agreement.
分类号	一类/力学重要期刊
资助项目	Key Program of the National Natural Science Foundation of China[12132018] ; EPSRC[EP/N018559/1] ; Chinese Scholarship Council
WOS关键词	GRAVITY-WAVES ; SHEETS ; WATER
WOS研究方向	Mechanics ; Physics
语种	英语
WOS记录号	WOS:000881756300001
资助机构	Key Program of the National Natural Science Foundation of China ; EPSRC ; Chinese Scholarship Council
其他责任者	Wang, Z.
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/90741]
专题	力学研究所_流固耦合系统力学重点实验室(2012-)
作者单位	1.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China; 3.UCL, Dept Math, London WC1E 6BT, England;
推荐引用方式 GB/T 7714	Guan X,VandenBroeck JM,Wang Z. New solutions for interfacial capillary waves of permanent form[J]. JOURNAL OF FLUID MECHANICS,2022,951:20.
APA	Guan X,VandenBroeck JM,&王展.(2022).New solutions for interfacial capillary waves of permanent form.JOURNAL OF FLUID MECHANICS,951,20.
MLA	Guan X,et al."New solutions for interfacial capillary waves of permanent form".JOURNAL OF FLUID MECHANICS 951(2022):20.